In Exercises 16-18, determine whether the given (2 x 3) system of linear equations represents coincident planes (that is, the same plane), two parallel planes, or two planes whose intersection is a line. In the latter case, give the parametric equations for the line; that is, give equa- tions of the form x = at +b, y = ct+d₂z = et + f. 16. 2x₁ + x₂ + x3 = 3 17. x₁ + 2x₂-x3 = 2 -2x₁ + x₂-x3 = 1 x₁ + x₂ + x3 = 3 18.) x+3x2-2x3 = -1 2x₁ + 6x2 - 4x3 = -2
In Exercises 16-18, determine whether the given (2 x 3) system of linear equations represents coincident planes (that is, the same plane), two parallel planes, or two planes whose intersection is a line. In the latter case, give the parametric equations for the line; that is, give equa- tions of the form x = at +b, y = ct+d₂z = et + f. 16. 2x₁ + x₂ + x3 = 3 17. x₁ + 2x₂-x3 = 2 -2x₁ + x₂-x3 = 1 x₁ + x₂ + x3 = 3 18.) x+3x2-2x3 = -1 2x₁ + 6x2 - 4x3 = -2
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 20E
Related questions
Question
Please help answer the ones circled red
Please show all work so I can understand!
![In Exercises 16-18, determine whether the given (2 x 3)
system of linear equations represents coincident planes
(that is, the same plane), two parallel planes, or two
planes whose intersection is a line. In the latter case, give
the parametric equations for the line; that is, give equa-
tions of the form x = at +b, y = ct+d, z = et + f.
16. 2x1 + x2 + x3 = 3 17. x₁ + 2x₂ - X3 = 2
-2x₁ + x₂x3 = 1 x₁ + x₂ + x3 = 3
18.) x₁ + 3x2 - 2x3 = -1
2x₁ + 6x2 - 4x3 = -2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13aaa285-dfaa-4e32-81d9-d704080d9b7c%2F018d1cc7-b273-4c59-a213-a9863b5cba6e%2Fjrp1c7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Exercises 16-18, determine whether the given (2 x 3)
system of linear equations represents coincident planes
(that is, the same plane), two parallel planes, or two
planes whose intersection is a line. In the latter case, give
the parametric equations for the line; that is, give equa-
tions of the form x = at +b, y = ct+d, z = et + f.
16. 2x1 + x2 + x3 = 3 17. x₁ + 2x₂ - X3 = 2
-2x₁ + x₂x3 = 1 x₁ + x₂ + x3 = 3
18.) x₁ + 3x2 - 2x3 = -1
2x₁ + 6x2 - 4x3 = -2
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage